Journal ArticleDOI
A Generalized View of Foam Drainage: Experiment and Theory
TLDR
In this paper, a new experimental method is presented using fluorescein dye to determine the spatial and temporal variations of the liquid volume fraction in aqueous foams This method was used for quantitative studies of liquid redistribution (drainage) in three types of experiments: forced, free, and pulsed drainage Characteristic quantities, such as the drainage velocity, show power-law dependences on experimental parameters that are inconsistent with traditional foam drainage models based on Poiseuille-type flow in the liquid-carrying channels (Plateau borders) of the foam.Abstract:
A new experimental method is presented using fluorescein dye to determine the spatial and temporal variations of the liquid volume fraction in aqueous foams This method is used for quantitative studies of liquid redistribution (drainage) in three types of experiments: forced, free, and pulsed drainage Characteristic quantities, such as the drainage velocity, show power-law dependences on experimental parameters that are inconsistent with traditional foam drainage models based on Poiseuille-type flow in the liquid-carrying channels (Plateau borders) of the foam To obtain a theoretical description, the foam drainage equation is generalized using an energy argument which accounts for viscous dissipation in both the channels and the nodes (or vertices, which are the junctions of four channels) of the liquid network Good agreement with results for all three types of drainage experiments is found when using this new model in the limit where the dissipation is dominated by the nodesread more
Citations
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Dissertation
RHEOLOGIE ET IMAGERIE DES ECOULEMENTS 2D DE MOUSSE approche expérimentale, numérique et théorique
TL;DR: In this paper, the authors present a model of a large number of ecoulements of mousses de mousse with a large variabilite en vitesse and en fraction liquide.
Journal ArticleDOI
Roughness-Induced Friction on Liquid Foams.
TL;DR: In this paper, the authors combined stresses measurements and observations of the flow during the motion of different rough surfaces in dry liquid foams to visually show that three distinct friction regimes exist: slippage, stick-slip motion, and anchored soap films.
Enhancing bubble-liquid segregation in flotation using multiple parallel inclined channels
TL;DR: In this paper, a list of FIGURES, TABLES, NOMENCLATURE, CHAPTER, and CHAPTER is presented, along with a chapter description of the chapter.
Journal ArticleDOI
A study of liquid drainage rate from foam with population balance equation: impact of bubble evolution
TL;DR: In this article, a population balance model was used to estimate the number density of bubble size distribution as a function of time, and the liquid drainage rate was calculated using volume balance equations.
Journal ArticleDOI
Modelling the behaviour of the wetting front in non-standard forced foam drainage scenarios
TL;DR: In this article, a finite element implementation of the foam drainage equation is used to carry out two-dimensional simulations, taking advantage of mesh adaptivity techniques to accurately resolve the dynamics of the wetting front.
References
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Book
Physical chemistry of surfaces
TL;DR: In this paper, the authors discuss the nature and properties of liquid interfaces, including the formation of a new phase, nucleation and crystal growth, and the contact angle of surfaces of solids.
Journal ArticleDOI
Stokes flow through periodic arrays of spheres
A. A. Zick,George M. Homsy +1 more
TL;DR: In this paper, the problem of slow flow through a periodic array of spheres was formulated as a set of two-dimensional integral equations for the unknown surface stress vector, thus lowering the dimension of the problem.
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LXIII. On the division of space with minimum partitional area
TL;DR: In this article, the division of space with minimum partitional area is discussed, and the authors propose a solution to the problem of partitioning space with a minimum number of partsitional areas.
Journal ArticleDOI
The foam drainage equation
TL;DR: In this paper, the authors review the history and recent development of this theory, analysing various exact and approximate solutions and relating them to each other, and propose a nonlinear partial differential equation for the foam density as a function of time and vertical position.